Abstract

We demonstrate coherence amplification in off-diagonal density matrix elements for a decoherence model for spin œ particles with applied radio-frequency pulse without relaxation. The method of coherence amplification developed may be of general utility in applications in NMR/MRI.

Highlights

  • The manifestation of coherence phenomena is a hallmark of quantum mechanics, differentiating it from classical phenomenon due to the property of superposition in quantum reality due to the linearity of the Schroedinger equation [1,2,3,4]

  • In the Letter, we develop a Possible Methodology of Coherence Enhancement

  • For the Specific Cases Treated here, to Explore a Model of Coherence Enhancement Effects, we specialize to the HS1 Adiabatic Pulse as detailed by Garwood, et al [10] [see Appendix II]

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Summary

Introduction

The manifestation of coherence phenomena is a hallmark of quantum mechanics, differentiating it from classical phenomenon due to the property of superposition in quantum reality due to the linearity of the Schroedinger equation [1,2,3,4]. Methods of possible amplification of coherence as quantitated by the absolute value of off-diagonal density matrix elements, may be of use in applications such as quantum computing [5] and MRI tissue contrast [6,7]. We base our Treatment on the Following Expression often used in Formalism of Coherence [1,9].

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